Vibration analysis of axisymmetric functionally graded viscothermoelastic spheres

查看全文 作　　者：[1]D.K.Sharma;[2]J.N.Sharma;[1]S.S.Dhaliwal;[2]V.Walia

机构地区：[1]Department of Mathematics,Sant Longowal Institute of Engineering and Technology;[2]Department of Mathematics,National Institute of Technology

出　　处：《Acta Mechanica Sinica》索引2014年第30卷第1期,共12页

基　　金：support provided by CSIR New Delhi via project grant No.25 (0184)/10/EMR–II 摘　　要：The present study focuses on the analysis of free vibrations of axisymmetric functionally graded hollow spheres.The material is assumed to be graded in radial direction with a simple power law.Matrix Fro¨benious method of extended power series is employed to derive the analytical solutions for displacement,temperature,and stresses.The dispersion relations for the existence of various types of possible modes of vibrations in the considered hollow sphere are derived in a compact form.In order to explore the characteristics of vibrations,the secular equations are further solved by using fixed point iteration numerical technique with the help of MATLAB software.The numerical results have been presented graphically for polymethyl methecrylate materials in respect of natural frequencies,frequency shift,inverse quality factor,displacement,temperature change,and radial stress. 关键词：自由振动分析功能梯度轴对称 MATLAB软件径向应力温度变化色散关系数值方法

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Vibration analysis of axisymmetric functionally graded viscothermoelastic spheres

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引证文献(3)

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